ACTIVITY 2. Read the following situation then answer the questions that follow. Write your solution and answer on the space provided. A supermarket stores shopping carts by nesting them. Each shopping cart is 36 inches long. The first cart contributes its entire length to the line. Each additional cart adds 9 inches to the line. Consider the sequence that gives the length of a line of carts, starting with 1 cart, then 2 carts, then 3 carts, and so on. LEARNING PACKAGE IN MATHEMATICS 10- FIRST QU 1 Write a variable expression for the length L of a line of n carts.

Q: List the first five terms of the sequence. an a1 = 6, an+1 1 + an a1 az = a3 = a4 = as I| || |||I

A: To find the first five terms

Q: Write the first six terms of the sequence beginning with the given term. Then calculate the first…

A: Solution: The objective is to find the first six terms of the sequence

Q: Study the patterns of numbers in each row of the table below. Each row relates to one of the figures…

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Q: List the next four terms in the sequences with the given rule a. Start at 0 add three B. Start at…

A: Given: Sequences which, Start at 0 and add three. Start at 0 and add six. To find: Next four…

Q: Determine the thirteenth term in the sequence whose nth term is an= -6n a. -66 b. 19 c. -78 d. 94

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Q: supe stores shopping carts by nesting them. Each shopping cart is 36 inches long. The first cart…

A: length of each shopping cart is = 36 inches while carts are nested in a line the after…

Q: Write the first five terms of the sequence.

A: Here we need to find the first five terms of the sequence having the nth term,…

Q: If a, = 2 and a = 2a, n -1> find the first five terms of the sequence.

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Q: 5. Find the Sum of the first 9 terms of the sequence -3/2 , -1/4 , 1 ,9/4 , . . . Enter your answer

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Q: Find the next term in the sequences 5,24,7,48,15,x.   Find x. Please show all the steps of the…

A: Solution is given below:

Q: Find the next number in each sequence. Replace it with the letters on the left of each sequence.…

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Q: The sequence n0.1 converges if

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Q: Give the 10th term of the following sequence: 1, 4, 7, 10

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Q: Give the next three terms in the following sequence and find the equation which generates it. You…

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Q: Activity 1 of 2 Part A: What is the common ratio of the functi > Math symbols • Relations > Geometry…

A: Solution of the problem as follows

Q: Find the sum of the first 200 natural numbers. A golfball is dropped from a height of 30ft to the…

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Q: , Part B, and Part C. domain value? Show your work. domain value? Show your work. is 6 when the…

A: We have to find the following conditions according to the given information

Q: Ryan is building a triangle sequence so that one triangle is added to the right each time, as shown…

A: The objective is to find the number of matchsticks will be in the nth and (n-1)th figures.

Q: What is the next 2 terms for the sequence -1, 2,-4,8,-16. . ..

A: Here we have to find the next two terms of the given sequence.

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.